US6037834A - Method and apparatus for automatic gain control with improved response time and stability - Google Patents

Method and apparatus for automatic gain control with improved response time and stability Download PDF

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US6037834A
US6037834A US09/036,397 US3639798A US6037834A US 6037834 A US6037834 A US 6037834A US 3639798 A US3639798 A US 3639798A US 6037834 A US6037834 A US 6037834A
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mean
gain
average energy
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output signal
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Bhasker P. Patel
Kenneth E. Garey
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Skyworks Solutions Inc
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Conexant Systems LLC
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    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03GCONTROL OF AMPLIFICATION
    • H03G3/00Gain control in amplifiers or frequency changers
    • H03G3/20Automatic control
    • H03G3/30Automatic control in amplifiers having semiconductor devices
    • H03G3/3089Control of digital or coded signals

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  • the present invention relates generally to Automatic Gain Control (AGC) circuits and more specifically pertains to AGC circuits with improved response time and stability.
  • AGC Automatic Gain Control
  • AGC circuits are designed to maintain a desired signal level at the output of the circuit. To achieve this goal, the algorithm used by the AGC circuit has to adapt to variations in the input signal of the circuit. Typically, there is a tradeoff between responsiveness and stability of the system. Thus, conventional AGC circuits are either sluggish or become unstable under certain circumstances.
  • the value of the proportionality constant is one of the factors affecting the responsiveness of the system. Another factor is dependent on the way the long term average energy E mean is calculated. If the calculation of E mean involves input signals from many past time frames, the AGC circuit will be slow in incorporating changes in the signal. This may be somewhat desirable, since the AGC circuit should not react too rapidly to short term changes. On the other hand, if the system is too slow with incorporation of the changes, the AGC circuit may not be able to boost or attenuate the input signal in reasonable time. Therefore, the AGC circuit parameters should be chosen carefully to ensure both the stability and responsiveness of the system.
  • FIG. 1 A block diagram of a conventional AGC circuit is presented in FIG. 1.
  • the elements of the block diagram can be presented with following equations, applicable in linear or dB domain:
  • R 0 energy of a current frame of the input signal
  • is an averaging constant
  • is a gain change
  • G is an estimated gain
  • ⁇ 1 is a coefficient representing linear slew rate
  • ⁇ q is a coefficient representing quadratic slew rate.
  • E mean and G are calculated recursively in the feedback loop. The initial value of G and E mean is set to zero dB, which is unity gain in linear domain.
  • the gain change ⁇ is included in Eq. (1) indirectly, as a function of the averaging constant ⁇ .
  • FIG. 1 represents the elements of the AGC circuit 10 observed during one frame.
  • An input signal x(n) 12, already converted into digital form, is updated in a feedback loop 16 and exits as an output signal y(n) 13.
  • the energy of the frame R 0 14, corresponding to the input signal x(n) 12, is calculated in a circuit element 14.
  • the value of R 0 14 is used in a circuit element 17 of the feedback loop 16 to calculate a new estimated value of E mean ' 18 according to Eq. (1).
  • the difference ⁇ 20 is obtained according to Eq. (2), in a summing element 19 which subtracts E ref 15 from the new estimated value of the E mean '18.
  • the gain change ⁇ 22 is obtained according to Eq.
  • the new estimate of the long term average energy E mean ' 18 is calculated in the circuit element 17 and represents the sum of the weighted estimated long term average energy E mean of the previous frame and the weighted input signal energy R 0 .
  • the weighting parameter is the averaging constant ⁇ , which controls the relative weight of the two terms of Eq. (1) and determines how quickly new frames are incorporated in the long term average energy E mean calculations.
  • the value of ⁇ depends on the circuit and is preferably about 0.1. A large value of ⁇ leads to a faster update of E mean and vice versa. Too large a value of ⁇ leads to a very fast update of E mean , which causes the AGC circuit to quickly react to variations in the input signal, thus leading to distortion. On the other hand, too small a value of ⁇ leads to very slow update of E mean which results in sluggish response.
  • the gain change ⁇ is used for adjustment of the estimated gain G.
  • the adjustment may be an increment or a decrement.
  • the gain change ⁇ is represented with the Eq. (3) which has two terms.
  • the first term is ⁇ 1 which represents a slew rate of the difference ⁇ and provides an adjustment based on a linear function.
  • the second term ⁇ 2 ⁇ q is based on a square of the first term. Because too small slew value results in sluggish response and too large a value may lead to oscillations, the coefficients ⁇ 1 and ⁇ q should be set such that the quadratic term practically vanishes during small energy variations, when the linear term keeps track of small energy variations. On the other hand, when there is a large or abrupt change in energy, the quadratic term becomes more important because it adjusts the estimated gain G quickly. It also vanishes quickly as the E mean approaches the target reference energy level E ref .
  • E mean is not close to E ref , leading to a large feedback in estimated gain calculation, as presented in Eq. (4).
  • the estimated gain varies quickly in response to such a large feedback.
  • E mean is an average long term energy computed over several frames, the effect of the increased gain will be reflected in E mean several frames later.
  • the gain continues to increase rapidly in order to make E mean become close to E ref .
  • the effect of the increased gain value is fully effecting the E mean , the gain has changed too much.
  • the gain G reacts immediately to changes in E mean , but the E mean calculation reacts to changes in gain very gradually. This leads to oscillations in the AGC circuit, as illustrated in FIGS. 2 and 3. It can be seen that in a conventional system the estimating gain curve and the long term average energy E mean curve have the same general shape of an oscillation curve, and that E mean curve is lagging the estimated gain curve.
  • Another object of the present invention is to provide an oscillation-free AGC circuit.
  • an AGC circuit with a feedback loop which repeatedly adapts the gain and a long term average energy E mean of the output signal to rapidly approach a predetermined level.
  • the long term average energy E mean is increased by a gain compensation parameter directly proportional to a gain change.
  • FIG. 1 illustrates a block diagram of a conventional AGC circuit.
  • FIG. 2 represents a gain curve obtained with the conventional circuit of FIG. 1.
  • FIG. 3 represents a long term average energy oscillation curve obtained with the conventional circuit of FIG. 1.
  • FIG. 4 illustrates a block diagram of an AGC circuit in accordance with the preferred embodiment of the present invention.
  • FIG. 5 represents a gain curve obtained with the circuit of FIG. 4.
  • FIG. 6 represents a long term average energy oscillation curve obtained with the circuit of FIG. 4.
  • the present invention eliminates the instability problem inherent in the conventional AGC circuits and their algorithm, and provides a more responsive AGC circuit with improved stability. This is accomplished by incorporating the effect of the new gain element G' in the E mean ' calculation more rapidly. Another way to accomplish this task is to calculate E mean ' over a shorter period of time, but this may cause the AGC circuit to quickly react to short term variations in the input signal, thus leading to distortions which should be avoided.
  • the method used in the present invention incorporates the effect of the new gain element G' in the E mean ' calculation more rapidly, thus speeding up the convergence of the E mean to E ref .
  • the gain change ⁇ is added into the E mean calculation, and multiplied with a scale factor.
  • FIG. 4 illustrates a block diagram of an AGC circuit 40 in accordance with the preferred embodiment of the present invention. All the elements of the illustrated preferred embodiment are the same as in FIG. 1 except element 17.
  • the preferred embodiment of FIG. 4 shows element 30, substituted for element 17 of FIG. 1.
  • Element 30 calculates the long term average energy E mean ' 18 according to the Eq. (5):
  • the Eq. (1) is modified to Eq. (5) by adding an additional parameter for gain compensation, (1- ⁇ ) ⁇ , and the other three equations are the same.
  • the gain change ⁇ is added to Eq. (5) directly, not only indirectly as in the Eq. (1).
  • Eq. (1) incorporates the gain change ⁇ only in the second term of the equation, as a function of ⁇ , because it is proportional to a fraction of the frame energy R 0 obtained by multiplication with the averaging constant ⁇ .
  • the gain compensation element is added where the gain change ⁇ is multiplied with the weight (1- ⁇ ). Since the value of ⁇ is preferably 0.1, in Eq.
  • the average energy calculation in the illustrated circuit is still calculated over a long time period yet incorporates the changes in the gain almost immediately.
  • the third parameter in the Eq. (5) for the gain compensation does not affect the way the variations in the input signal energy are averaged.
  • the AGC circuit of the present invention is oscillation free, because the oscillations in the conventional AGC circuits occur because of the AGC algorithm used in those circuits, and not because of the changes in the input signal.
  • the method and AGC circuit of the present invention were evaluated under the same test conditions as the conventional device of FIG. 1.
  • the performance of the AGC circuit of FIG. 4 is shown in FIGS. 5 and 6.
  • the initial value for the averaging constant ⁇ was 0.1
  • the coefficients ⁇ 1 and ⁇ q were set to 0.100 and 0.025, respectively
  • E ref was initially set to 24 dB
  • R 0 was set to 7.7 dB.
  • the conventional AGC circuit of FIG. 1 the slew rates were not high enough to avoid oscillations, thus leading to a slower response than wanted.
  • the new algorithm of element 30 slew rates will be able to be set high enough to achieve very fast response, thus eliminating oscillations.
  • the AGC algorithm and circuit of the present invention is believed to be especially applicable and useful in circuits where the input signal is constantly changing in time and fast response and stability of the system is necessary. It is understood that the principles of this invention may be applied in circuits where input signals are speech patterns, as in digital cordless and cellular telephones, and in digital telephone answering devices.

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Abstract

The AGC circuit and method especially applicable in circuits where fast response and stability of the system is necessary, such as where input signals are speech patterns. A gain feedback loop repeatedly adapts the gain and a long term average energy Emean of the output signal until it approaches a predetermined level. In each pass through the gain feedback loop the long term average energy Emean is increased by a gain compensation parameter directly proportional to a gain change, thereby rapidly adapting the long term average energy Emean to converge to the predetermined level.

Description

BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates generally to Automatic Gain Control (AGC) circuits and more specifically pertains to AGC circuits with improved response time and stability.
2. Description of Related Art
AGC circuits are designed to maintain a desired signal level at the output of the circuit. To achieve this goal, the algorithm used by the AGC circuit has to adapt to variations in the input signal of the circuit. Typically, there is a tradeoff between responsiveness and stability of the system. Thus, conventional AGC circuits are either sluggish or become unstable under certain circumstances.
Most AGC algorithms are based on calculation of a long term average energy (Emean) of the output signal of the AGC circuit, computed over several time frames. The goal of a circuit designer is to maintain, on the output of the circuit, the long term average energy Emean at, or close to, a target reference energy level (Eref). This is accomplished in a feedback loop of the AGC circuit where the input signal is multiplied with an updated value of gain estimate (G) until the energy level of the output signal approaches the target reference energy level Eref.
The gain estimate G of the AGC circuit is varied as a function of a difference Δ=Eref -Emean, which is weighted with a proportionality constant. The value of the proportionality constant is one of the factors affecting the responsiveness of the system. Another factor is dependent on the way the long term average energy Emean is calculated. If the calculation of Emean involves input signals from many past time frames, the AGC circuit will be slow in incorporating changes in the signal. This may be somewhat desirable, since the AGC circuit should not react too rapidly to short term changes. On the other hand, if the system is too slow with incorporation of the changes, the AGC circuit may not be able to boost or attenuate the input signal in reasonable time. Therefore, the AGC circuit parameters should be chosen carefully to ensure both the stability and responsiveness of the system.
A block diagram of a conventional AGC circuit is presented in FIG. 1. The elements of the block diagram can be presented with following equations, applicable in linear or dB domain:
E.sub.mean '=(1-β) E.sub.mean +βR.sub.0          (1)
Δ=E.sub.ref -E.sub.mean '                            (2)
ε=f(Δ)=Δγ.sub.1 +sign(Δ)Δ.sup.2 γ.sub.q                                             (3)
G'=G+ε                                             (4)
where R0 is energy of a current frame of the input signal, β is an averaging constant, ε is a gain change, G is an estimated gain, γ1, is a coefficient representing linear slew rate and γq is a coefficient representing quadratic slew rate. Emean and G are calculated recursively in the feedback loop. The initial value of G and Emean is set to zero dB, which is unity gain in linear domain. The gain change ε is included in Eq. (1) indirectly, as a function of the averaging constant β.
FIG. 1 represents the elements of the AGC circuit 10 observed during one frame. An input signal x(n) 12, already converted into digital form, is updated in a feedback loop 16 and exits as an output signal y(n) 13. The energy of the frame R0 14, corresponding to the input signal x(n) 12, is calculated in a circuit element 14. The value of R0 14 is used in a circuit element 17 of the feedback loop 16 to calculate a new estimated value of Emean ' 18 according to Eq. (1). The difference Δ20 is obtained according to Eq. (2), in a summing element 19 which subtracts E ref 15 from the new estimated value of the Emean '18. The gain change ε 22 is obtained according to Eq. (3) in a circuit element 21, and a new value of estimated gain G'24 in a circuit element 23 according to Eq. (4). The output signal y(n) 13, which is a new value of the input signal x(n) 12, is obtained in a multiplying element 26 of the feedback loop 16, which multiplies the new value of the estimated gain G' 24 with the input signal x(n) 12. Each circuit element 14, 17, 21 and 24 can be any conventional circuit able to perform the respective calculation. These circuits are well known in the art.
The new estimate of the long term average energy Emean ' 18 is calculated in the circuit element 17 and represents the sum of the weighted estimated long term average energy Emean of the previous frame and the weighted input signal energy R0. The weighting parameter is the averaging constant β, which controls the relative weight of the two terms of Eq. (1) and determines how quickly new frames are incorporated in the long term average energy Emean calculations. The value of β depends on the circuit and is preferably about 0.1. A large value of βleads to a faster update of Emean and vice versa. Too large a value ofβleads to a very fast update of Emean, which causes the AGC circuit to quickly react to variations in the input signal, thus leading to distortion. On the other hand, too small a value of β leads to very slow update of Emean which results in sluggish response.
The gain change ε is used for adjustment of the estimated gain G. The adjustment may be an increment or a decrement. The gain change ε is represented with the Eq. (3) which has two terms. The first term is Δγ1 which represents a slew rate of the difference Δ and provides an adjustment based on a linear function. The second term Δ2 γq is based on a square of the first term. Because too small slew value results in sluggish response and too large a value may lead to oscillations, the coefficients γ1 and γq should be set such that the quadratic term practically vanishes during small energy variations, when the linear term keeps track of small energy variations. On the other hand, when there is a large or abrupt change in energy, the quadratic term becomes more important because it adjusts the estimated gain G quickly. It also vanishes quickly as the Emean approaches the target reference energy level Eref.
In order to analyze a typical situation in a conventional AGC circuit which leads to oscillations, it can be assumed that initially Emean is not close to Eref, leading to a large feedback in estimated gain calculation, as presented in Eq. (4). The estimated gain varies quickly in response to such a large feedback. Because Emean is an average long term energy computed over several frames, the effect of the increased gain will be reflected in Emean several frames later. In the mean time, the difference Δ=Eref -Emean decreases, although slowly. As a result, the gain continues to increase rapidly in order to make Emean become close to Eref. By the time the effect of the increased gain value is fully effecting the Emean, the gain has changed too much.
Essentially, the gain G reacts immediately to changes in Emean, but the Emean calculation reacts to changes in gain very gradually. This leads to oscillations in the AGC circuit, as illustrated in FIGS. 2 and 3. It can be seen that in a conventional system the estimating gain curve and the long term average energy Emean curve have the same general shape of an oscillation curve, and that Emean curve is lagging the estimated gain curve.
Therefore, there is a need for an AGC circuit with good response time and with good stability.
OBJECTS AND SUMMARY OF THE INVENTION
It is a primary object of the present invention to overcome the aforementioned shortcomings associated with the prior art and provide an AGC circuit with good response time.
Another object of the present invention is to provide an oscillation-free AGC circuit.
These as well as additional objects and advantages of the present invention are achieved in an AGC circuit with a feedback loop which repeatedly adapts the gain and a long term average energy Emean of the output signal to rapidly approach a predetermined level. In each pass through the gain feedback loop the long term average energy Emean is increased by a gain compensation parameter directly proportional to a gain change.
BRIEF DESCRIPTION OF THE DRAWINGS
The objects and features of the present invention, which are believed to be novel, are set forth with particularity in the appended claims. The present invention, both as to its organization and manner of operation, together with further objects and advantages, may best be understood by reference to the following description, taken in connection with the accompanying drawings.
FIG. 1 illustrates a block diagram of a conventional AGC circuit.
FIG. 2 represents a gain curve obtained with the conventional circuit of FIG. 1.
FIG. 3 represents a long term average energy oscillation curve obtained with the conventional circuit of FIG. 1.
FIG. 4 illustrates a block diagram of an AGC circuit in accordance with the preferred embodiment of the present invention.
FIG. 5 represents a gain curve obtained with the circuit of FIG. 4.
FIG. 6 represents a long term average energy oscillation curve obtained with the circuit of FIG. 4.
DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENT
The following description is provided to enable any person skilled in the art to make and use the invention and sets forth the best modes contemplated by the inventor[s] of carrying out [his/her/their] invention. Various modifications, however, will remain readily apparent to those skilled in the art, since the general principles of the present invention have been defined herein specifically to provide AGC circuits with improved response time and stability.
The present invention eliminates the instability problem inherent in the conventional AGC circuits and their algorithm, and provides a more responsive AGC circuit with improved stability. This is accomplished by incorporating the effect of the new gain element G' in the Emean ' calculation more rapidly. Another way to accomplish this task is to calculate Emean ' over a shorter period of time, but this may cause the AGC circuit to quickly react to short term variations in the input signal, thus leading to distortions which should be avoided.
The method used in the present invention incorporates the effect of the new gain element G' in the Emean ' calculation more rapidly, thus speeding up the convergence of the Emean to Eref. In this method, the gain change ε is added into the Emean calculation, and multiplied with a scale factor. The new algorithm of the present invention is implemented in FIG. 4 which illustrates a block diagram of an AGC circuit 40 in accordance with the preferred embodiment of the present invention. All the elements of the illustrated preferred embodiment are the same as in FIG. 1 except element 17. The preferred embodiment of FIG. 4 shows element 30, substituted for element 17 of FIG. 1. Element 30 calculates the long term average energy Emean ' 18 according to the Eq. (5):
E.sub.mean '=(1-β)E.sub.mean +βR.sub.0 +(1-β)ε(5)
Therefore, in the present invention, the Eq. (1) is modified to Eq. (5) by adding an additional parameter for gain compensation, (1-β) ε, and the other three equations are the same. Thus, the gain change ε is added to Eq. (5) directly, not only indirectly as in the Eq. (1). Eq. (1) incorporates the gain change ε only in the second term of the equation, as a function of β, because it is proportional to a fraction of the frame energy R0 obtained by multiplication with the averaging constant β. In Eq. (5) the gain compensation element is added where the gain change ε is multiplied with the weight (1-β). Since the value of βis preferably 0.1, in Eq. (5), Emean 'changes rapidly because the gain change ε is multiplied with (1-β), which is 0.9 and a much higher number than 0.1 used in the Eq. (1). This insures fast convergence of Emean to Eref in the feedback loop 16 of the illustrated embodiment.
The average energy calculation in the illustrated circuit is still calculated over a long time period yet incorporates the changes in the gain almost immediately. Moreover, the third parameter in the Eq. (5) for the gain compensation does not affect the way the variations in the input signal energy are averaged. Furthermore, the AGC circuit of the present invention is oscillation free, because the oscillations in the conventional AGC circuits occur because of the AGC algorithm used in those circuits, and not because of the changes in the input signal.
The method and AGC circuit of the present invention were evaluated under the same test conditions as the conventional device of FIG. 1. The performance of the AGC circuit of FIG. 4 is shown in FIGS. 5 and 6. In the tests presented with FIGS. 2, 3, 5 and 6 the initial value for the averaging constant β was 0.1, the coefficients γ1 and γq were set to 0.100 and 0.025, respectively, Eref was initially set to 24 dB, and R0 was set to 7.7 dB. With the conventional AGC circuit of FIG. 1 the slew rates were not high enough to avoid oscillations, thus leading to a slower response than wanted. With the new algorithm of element 30, slew rates will be able to be set high enough to achieve very fast response, thus eliminating oscillations.
The AGC algorithm and circuit of the present invention is believed to be especially applicable and useful in circuits where the input signal is constantly changing in time and fast response and stability of the system is necessary. It is understood that the principles of this invention may be applied in circuits where input signals are speech patterns, as in digital cordless and cellular telephones, and in digital telephone answering devices.
Those skilled in the art will appreciate that various adaptations and modifications of the just-described preferred embodiment can be configured without departing from the scope and spirit of the invention. Therefore, it is to be understood that, within the scope of the appended claims, the invention may be practiced other than as specifically described herein.

Claims (6)

What is claimed is:
1. A highly responsive, oscillation-free AGC circuit, comprising:
an input having a signal applied thereto;
an output providing a signal by multiplying the input signal with a gain; and
a gain feedback loop adjusting the gain and average energy Emean of the output signal each time the output signal is passed through the gain feedback loop,
by increasing the average energy Emean by a gain compensation parameter directly proportional to a gain change, occurring for each pass through the gain feedback loop.
2. The highly responsive, oscillation-free AGC circuit according to claim 1 wherein:
the average energy Emean of a new pass is adapted according to the equation
E.sub.mean =(1-β)E.sub.mean +βR.sub.0 +(1-β)ε
using the input signal energy R0 and the Emean from a previous pass, and the gain compensation parameter is directly proportional to the gain change ε and is obtained by multiplying the gain change ε with a scale factor (1-β), where β is an averaging constant.
3. The AGC circuit of claim 1 wherein the average energy Emean is increased by adding to Emean the gain change multiplied by a scale factor based on an averaging constant.
4. A method for providing highly responsive oscillation-free AGC, the method comprising the steps:
obtaining an input signal to be controlled;
generating an output signal by multiplying the input signal with a gain;
passing the output signal through a feedback circuit a plurality of times until the output signal approaches a predetermined level; and
adjusting the gain and a long term average energy Emean of the output signal during each pass through the feedback circuit by increasing the average energy Emean by a gain compensation parameter directly proportional to a gain change, occurring for each pass through the feedback circuit.
5. The method for obtaining a highly responsive oscillation-free AGC circuit according to claim 3, wherein:
the average energy Emean, of a new pass is adapted according to the equation
E.sub.mean =(1-β)E.sub.mean +βR.sub.0 +(1-β)ε
using the input signal energy R0 and the Emean from a previous pass, and the gain compensation parameter is directly proportional to the gain change ε and is obtained by multiplying the gain change ε with a scale factor (1-β), where β is an averaging constant.
6. The method of claim 4 wherein the average energy Emean is increased by adding to Emean the gain change multiplied by a scale factor based on an averaging constant.
US09/036,397 1998-03-06 1998-03-06 Method and apparatus for automatic gain control with improved response time and stability Expired - Lifetime US6037834A (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111694394A (en) * 2019-03-15 2020-09-22 新唐科技股份有限公司 Digital voltage stabilizing system and control method thereof

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111694394A (en) * 2019-03-15 2020-09-22 新唐科技股份有限公司 Digital voltage stabilizing system and control method thereof

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